Holographic probes of collapsing black holes
Holographic probes of collapsing black holes
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DOI：
10.1007/jhep03(2014)097
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发表时间：
2013-12
影响因子：
5.4
通讯作者：
V. Hubeny;Henry Maxfield
中科院分区：
文献类型：
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作者：
V. Hubeny;Henry Maxfield
我们将继续探索利用规范/引力对应全息解码黑洞内部时空几何的方法。为此，我们研究了某些极端表面的行为（集中在那些相关的等时量子和纠缠熵的双重CFT）在一个动态演化的渐近AdS时空，特别是研究如何深，这样的探针达到。为了突出使系统远离平衡和有限体积的新效应，我们考虑球对称的Vaidya-AdS，它描述了由零壳的引力坍缩形成的黑洞，这提供了场论中量子猝灭的方便的玩具模型。锚定在边界上的极值曲面表现出相当丰富的行为，其特征取决于时空和曲面的维数，以及锚定区域。主要的共同特征是，它们甚至在几何体的坍缩后部分也到达视界内部。在3维时空中，我们发现，对于亚AdS大小的黑洞，整个时空是可访问的限制类测地线，而在较大的黑洞附近的坍缩壳的一个小区域不能达到任何边界锚定测地线。在更高维度中，最深的到达是由测地线达到的，测地线（尽管是不对称的）在坍缩后不久连接相等的时间和对映的边界点;这些可以达到任意高曲率的时空区域，同时具有最小的长度。高维曲面可以穿透视界，同时在任意晚的时间锚定在边界上，但有界远离奇点。我们还研究了在热化过程中的长度或面积增长的细节。当极值曲面的面积单调增加时，测地线长度既不是单调的也不是连续的。
We continue the programme of exploring the means of holographically decoding the geometry of spacetime inside a black hole using the gauge/gravity correspondence. To this end, we study the behaviour of certain extremal surfaces (focusing on those relevant for equal-time correlators and entanglement entropy in the dual CFT) in a dynamically evolving asymptotically AdS spacetime, specifically examining how deep such probes reach. To highlight the novel effects of putting the system far out of equilibrium and at finite volume, we consider spherically symmetric Vaidya-AdS, describing black hole formation by gravitational collapse of a null shell, which provides a convenient toy model of a quantum quench in the field theory. Extremal surfaces anchored on the boundary exhibit rather rich behaviour, whose features depend on dimension of both the spacetime and the surface, as well as on the anchoring region. The main common feature is that they reach inside the horizon even in the post-collapse part of the geometry. In 3-dimensional spacetime, we find that for sub-AdS-sized black holes, the entire spacetime is accessible by the restricted class of geodesics whereas in larger black holes a small region near the imploding shell cannot be reached by any boundary-anchored geodesic. In higher dimensions, the deepest reach is attained by geodesics which (despite being asymmetric) connect equal time and antipodal boundary points soon after the collapse; these can attain spacetime regions of arbitrarily high curvature and simultaneously have smallest length. Higher-dimensional surfaces can penetrate the horizon while anchored on the boundary at arbitrarily late times, but are bounded away from the singularity. We also study the details of length or area growth during thermalization. While the area of extremal surfaces increases monotonically, geodesic length is neither monotonic nor continuous.